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You should be able to rearrange it to something of the form A + Bi, where A and B are real numbers. Write each of the following numbers in the form a + bi, where a and b are real numbers. (a) (2+3)(2-3i) 2+3i (b) 2-i

You should be able to rearrange it to something of the form A + Bi, where A and B are real numbers. Write each of the following numbers in the form a + bi, where a and b are real numbers. (a) (2+3)(2-3i) 2+3i (b) 2-i

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(Review of Complex Numbers) The three most important facts to know about complex numbers are that • 12 = -1 • every complex number can be written in the form a + bi, where a and b are real numbers ⚫elt = cos(t)+isin(t) (this is known as Euler's formula) When manipulating complex numbers, you are free to always treat i as you would with normal algebra (in terms of factoring, rearranging, etc.). If you ever have an i², you can replace it with -1. To divide complex numbers, you can multiply a fraction's numerator and denominator by the complex conjugate of the denominator, and then simplify: a+bi a+bi c-di = c+di cdi cdi You should be able to rearrange it to something of the form A + Bi, where A and B are real numbers. Write each of the following numbers in the form a + bi, where a and b are real numbers. (a) (2+3)(2-3i) 2+3i (b) 2-i
Transcribed Image Text:(Review of Complex Numbers) The three most important facts to know about complex numbers are that • 12 = -1 • every complex number can be written in the form a + bi, where a and b are real numbers ⚫elt = cos(t)+isin(t) (this is known as Euler's formula) When manipulating complex numbers, you are free to always treat i as you would with normal algebra (in terms of factoring, rearranging, etc.). If you ever have an i², you can replace it with -1. To divide complex numbers, you can multiply a fraction's numerator and denominator by the complex conjugate of the denominator, and then simplify: a+bi a+bi c-di = c+di cdi cdi You should be able to rearrange it to something of the form A + Bi, where A and B are real numbers. Write each of the following numbers in the form a + bi, where a and b are real numbers. (a) (2+3)(2-3i) 2+3i (b) 2-i
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